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Words related to non-

*ne- 
Proto-Indo-European root meaning "not."

It forms all or part of: a- (3) "not, without;" abnegate; ahimsa; an- (1) privative prefix; annihilate; annul; aught (n.2) "zero, nothing;" deny; hobnob; in- (1) "not, opposite of, without;" ixnay; naught; naughty; nay; nefarious; negate; neglect; negligee; negotiate; neither; nepenthe; nescience; nescient; neuter; never; nice; nihilism; nihility; nil; nill; nimiety; nix; no; non-; none; nonplus; nor; not; nothing; null; nullify; nulliparous; renegade; renege; un- (1) prefix of negation; willy-nilly.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit a-, an- "not;" Avestan na "not;" Greek a-, an-, ne- "not;" Latin in- "not," ne "that not;" Old Church Slavonic and Lithuanian ne "not;" Old Irish an-, ni, Cornish ny "not;" Gothic and Old English un- "not."
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*oi-no- 
Proto-Indo-European root meaning "one, unique."

It forms all or part of: a (1) indefinite article; alone; an; Angus; anon; atone; any; eleven; inch (n.1) "linear measure, one-twelfth of a foot;" lone; lonely; non-; none; null; once; one; ounce (n.1) unit of weight; quincunx; triune; unanimous; unary; une; uni-; Uniate; unilateral; uncial; unicorn; union; unique; unison; unite; unity; universal; universe; university; zollverein.

It is the hypothetical source of/evidence for its existence is provided by: Greek oinos "ace (on dice);" Latin unus "one;" Old Persian aivam; Old Church Slavonic -inu, ino-; Lithuanian vienas; Old Irish oin; Breton un "one;" Old English an, German ein, Gothic ains "one."
not (adv.)

negative particle, a word expressing negation, denial, refusal, or prohibition, mid-13c., unstressed variant of noht, naht "in no way" (see naught). As an interjection to negate what was said before or reveal it as sarcasm, it is attested by 1900, popularized 1989 by "Wayne's World" sketches on "Saturday Night Live" TV show.

Not, spoken with emphasis, often stands for the negation of a whole sentence referred to: as, I hope not (that is, I hope that the state of things you describe does not exist). [Century Dictionary, 1895]

To not know X from Y (one's ass from one's elbow, shit from Shinola, etc.) was a construction attested from c. 1930 in modern use; but compare Middle English not know an A from a windmill (c. 1400). Double negative construction not un- was derided by Orwell, but is persistent and ancient in English, popular with Milton and the Anglo-Saxon poets.

non-access (n.)

"lack of access," 1745, from non- + access (n.). Especially in law, "impossibility of access for sexual intercourse," as when a husband is out of the country in military service or at sea longer than the time of gestation of a child. "[W]hen a husband could not, in the course of nature, by reason of his absence, have been the father of his wife's child, the child is a bastard" ["Wharton's Law Lexicon," London, 1883].

non-admission (n.)

also nonadmission, "the refusal of admission," 1680s, from non- + admission.

nonage (n.)

late 14c., "childhood, minority, state of not being of age, period of legal infancy," from Anglo-French nounage (early 14c.), Old French nonaage, from non- (see non-) + age (see age (n.)). Figurative use from 1580s.

non-aggression (n.)

also nonaggression, "absence of aggression," especially "absence of warlike intentions among nations," 1833, from non- + aggression.

non-aligned (adj.)

also nonaligned, by 1960 in geopolitical sense, from non- + past participle of align. Non-alignment (also nonalignment) in this sense is attested from 1934.

non-appearance (n.)

also nonappearance, "failure to appear as summoned," mid-15c., non-apparaunce, from non- + appearance.

non-attendance (n.)

also nonattendance, "failure to attend, omission of attendance," 1680s, from non- + attendance.